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Finding the Third Proportional to 435,386 and 659,640

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Solution

The third proportional to 435,386 and 659,640 is: 999,400.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,386 : 659,640 = 659,640 : x
  2. Step 2: Convert to fraction form
    435,386/659,640 = 659,640/x
  3. Step 3: Cross multiply
    435,386x = 659,640 × 659,640
  4. Step 4: Simplify right side
    435,386x = 435,124,929,600
  5. Step 5: Solve for x
    x = 435,124,929,600/435,386
  6. Step 6: Final answer
    x = 999,400.37

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.